Answered

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What value of x and y will make the polygon below a parallelogram?

What Value Of X And Y Will Make The Polygon Below A Parallelogram class=

Sagot :

MrRoyal

Answer:

[tex]x = 4[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

The attached figure

Required

x and y

If the attached is a parallelogram, then:

Either segment of a diagonal are equal; So, we have:

[tex]3x = 12[/tex]

[tex]x + y = 5y[/tex]

In [tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute [tex]x = 4[/tex] in [tex]x + y = 5y[/tex]

[tex]4 + y = 5y[/tex]

Collect like terms

[tex]5y - y =4[/tex]

[tex]4y = 4[/tex]

Divide both sides by 4

[tex]y = \frac{4}{4}[/tex]

[tex]y =1[/tex]

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